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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

Undergraduate Course: Methods of Mathematical Physics (PHYS10034)

Course Outline
SchoolSchool of Physics and Astronomy CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 10 (Year 4 Undergraduate) Credits10
Home subject areaUndergraduate (School of Physics and Astronomy) Other subject areaNone
Course website http://www2.ph.ed.ac.uk/~dmarendu/MOMP.html Taught in Gaelic?No
Course descriptionA course on advanced methods of mathematical physics. The course aims to demonstrate the utility and limitations of a variety of powerful calculational techniques and to provide a deeper understanding of the mathematics underpinning theoretical physics. The course will review and develop the theory of: complex analysis and applications to special functions; asymptotic expansions; ordinary and partial differential equations, in particular, characteristics, integral transform and Green function techniques; Dirac delta and generalised functions; Sturm-Liouville theory. The generality of approaches will be emphasised and illustrative examples from electrodynamics, quantum and statistical mechanics will be given.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Complex Variable & Differential Equations (MATH10033)
Co-requisites
Prohibited Combinations Other requirements At least 80 credit points accrued in courses of SCQF Level 9 or 10 drawn from Schedule Q.
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2011/12 Semester 1, Available to all students (SV1) WebCT enabled:  No Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 14:00 - 14:50
King's BuildingsLecture1-11 14:00 - 14:50
King's BuildingsTutorial1-11 14:00 - 15:50
First Class First class information not currently available
Additional information Workshop/tutorial sessions, as arranged.
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S2 (April/May)2:00
Delivery period: 2011/12 Semester 1, Part-year visiting students only (VV1) WebCT enabled:  No Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 14:00 - 14:50
King's BuildingsLecture1-11 14:00 - 14:50
First Class Week 1, Monday, 14:00 - 14:50, Zone: King's Buildings. Rm 5326 - JCMB
Additional information Workshop/tutorial sessions, as arranged.
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S1 (December)2:00
Summary of Intended Learning Outcomes
On completion of this course a student should be able to:
1)define and derive convergent and asymptotic series
2)apply techniques of complex analysis, such as contour integrals and analaytic continuation, to the study of special functions of mathematical physics
3)calculate approximations to integrals by appropriate saddle point methods
4)define and manipulate the Dirac Delta and other distributions and be able to derive their various properties
5)be fluent in the use of Fourier and Laplace transformations to solve differential equations and derive asymptotic properties of solutions
6)solve partial differential equations with appropriate initial or boundary conditions with Green function techniques
7)have confidence in solving mathematical problems arising in physics by a variety of mathematical techniques
Assessment Information
Degree Examination, 100%
Visiting Student Variant Assessment
Degree Examination, 100%
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus & Revision of infinite series; asymptotic series
& Complex analysis: revision, residues and analytical continuation
& Gamma function
& Laplace and stationary phase methods; saddle point approximation
& Dirac's delta function
& Ordinary differential equations (ODEs): Green functions and solution via series
& Special functions
& Fourier transformations: definition, properties and application to ODEs
& Laplace transforms: definition, properties and application to ODEs
& Partial differential equations: characterisation and solution via Laplace and Fourier transforms
& Examples: the wave equation, the diffusion equation and Laplace equation
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsMoMP
Contacts
Course organiserDr Davide Marenduzzo
Tel: (0131 6)50 5283
Email: dmarendu@ph.ed.ac.uk
Course secretaryMiss Jennifer Wood
Tel: (0131 6)50 7218
Email: J.Wood@ed.ac.uk
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© Copyright 2011 The University of Edinburgh - 16 January 2012 6:41 am